EMERGENCY HELP PLS: The state decided that the angle a wheelchair ramp
makes with the ground should be no more than 4.3º.
a) What is the maximum height of a 25-foot ramp? Round to the nearest tenth of a foot.
b) What distance along the ground would this ramp
cover? Round to the nearest tenth of a foot.
Maximum height = ? ft.
Distance along the ground ? ft.

The smallest, middle and longest pieces are 11, 39, and 46 inches long respectively.

Let y be the length of the smallest piece.

We have been given that the longest piece is 13 inches longer than three times the smallest piece. So the length of the longest piece will be 3y + 13.

The middle piece is 7 inches less than the longest piece.

Therefore, the length of the middle piece will be:

3y + 13 - 7 = 3y + 6

Now, the lenght of the PVC pipe is 8 feet.

We know that,

1 feet = 12 inches

Therefore,

8 feet = 96 inches

So, the sum of the longest, middle and smallest peice is 96.

3y + 13 + 3y + 6 + y = 96

7y + 19 = 96

Subtracting 19 from each side of the equation.

7y + 19 - 19 = 96 - 19

7y = 77

Dividing each side of the equation by 7.

y = 11

Hence, the length of the smallest piece is 11 inches.

The length of the middle piece will be:

3y + 6 = 3(11) + 6 = 33 + 6 = 39 inches.

And, the length of the largest piece will be :

3y + 13 = 3(11) + 13 = 33 + 13 = 46 inches.

The length of the smallest, middle and largest pieces is 11, 39, and 46 inches respectively.

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If an 8ft piece of pvc pipe is cut into 3 pieces. the longest piece is 13 in. longer than 3 times the smallest piece. the middle piece is 7 in. less than the longest piece, then the length of longest piece is 46 inches, the length of middle piece is 39 inches and the length of smallest piece is 11 inches.

Given that an 8ft piece of pvc pipe is cut into 3 pieces. the longest piece is 13 in. longer than 3 times the smallest piece. the middle piece is 7 in. less than the longest piece.

We are required to find the length of each piece.

let the length of longest piece be x and the length of smallest piece be y and middle piece be z.

According to question the equations will be:

x=3y+13----1

z=x-7--------2

x+y+z=96----3            (1 ft.=12 inches)

Put the value of z from equation 2 and y from equation 1 in equation 3.

x+(x-13)/3+x-7=96

x+x/3-13/3+x-7=96

(3x+x-13+3x-21)/3=96

7x-34=288

7x=288+34

7x=322

x=46 inches.

Using the length of x in equation 2.

z=46-7

z=39 inches

Using the value of x and z in equation 3.

x+y+z=96

46+y+39=96

85+y=96

y=96-85

y=11 inches

Hence if an 8ft piece of pvc pipe is cut into 3 pieces. the longest piece is 13 in. longer than 3 times the smallest piece. the middle piece is 7 in. less than the longest piece, then the length of longest piece is 46 inches, the length of middle piece is 39 inches and the length of smallest piece is 11 inches.

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By using arithmetic progression, it is obtained that the number of natural numbers less than 100 whose product of the number's distinct prime factors equal to 6 = 13

What is Arithmetic Progression?

A sequence of numbers is said to be in Arithmetic progression if the difference between the consecutive terms of the sequence are same.

If the first term is a and the common difference is d, then the \(n^{th}\) term of the sequence is given by the formula

\(a_n = a + (n - 1)d\)  , where  \(a_n\) is the \(n^{th}\) term

The natural numbers whose  product of the number's distinct prime factors equal to 6 must have only 2 and 3 as distinct prime factors

The natural numbers less than 100 which have only 2 and 3 as a prime factor are multiples of 6 except 30, 60, 90

Now to calculate number of multiples of 6 less than 100, Arithmetic Progression is required

First term = 6, last term = 96, common difference = 6

\(96 = 6 + (n - 1) 6\\\\n - 1 = \frac{96 - 6}{6}\\\\n - 1 = 15\\\\n = 15 + 1\\\\n = 16\)

Now, 30, 60 and 90 are discarded as they have 5 as a prime factor also

Number of natural numbers less than 100 whose product of the number's distinct prime factors equal to 6 = 16 - 3 = 13

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Answer:

The unit rate is 2.20. For a single pound of cat food it would cost $2.20

The  statement about probability that is true is option The probability of landing on orange is equal to the probability of landing on yellow.

From the  question, the spinner has:

8 sections, with:

So probability of one getting on any section is  = 1/8, or 0.125.

Therefore, the  probability of getting on orange will still be the same as the probability of landing on yellow and as such option C is correct.

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Answer:

B,F, C

Step-by-step explanation:

I belive this because a coefficient a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

Answer:

yes they are

Step-by-step explanation:

they are congruent because the 1 angle between them are 90° on both triangle angle ADE. IS congruent to angleCBA

therfore they are congruent ♥️

Answer:

The answer is below

Step-by-step explanation:

From the image:

∠P + ∠Q = 180° (consecutive angles are supplementary)

78 + ∠Q = 180

∠Q = 180 - 78

∠Q = 102°

∠RQN = 360° - 305° =(sum of angle in a point)

∠RQN = 55°

∠RQN + ∠RQP = 102°

∠RQP = 102 - 55 = 47°

a) Let PR = x

Using cosine rule:

\(x^2=600^2+950^2-2(900)(600)cos(47)\\\\x^2=485021.9\\\\x=\sqrt{485021.9} \\\\x=696 \ m\)

Therefore PR = 696 m

b) Let ∠RPQ be A°

Using sine rule:

\(\frac{sin(A)}{600} =\frac{sin(47)}{696} \\\\sin(A)=\frac{sin(47)}{696} *600\\\\sin(A)=0.6304\\\\A=sin^{-1}(0.6304)\\\\A=39^0\)

∠RPQ = 39°

Hence the bearing of R from P = ∠NPR = 78° - 39° = 39°

Answer:

B is the answer

Step-by-step explanation:

Answer:

"Different representations (written descriptions, tables, graphs, and Linear functions may be used to represent and generalize real situations. Slope and y-intercept are keys to solving real problems involving linear relationships. "

Step-by-step explanation:

Answer:

The question has the answer in it.. Maddy's speed.. which is 3 MPH :/ but... if you need to find the thing that isn't known... Maddy's time.. here is how..

Step-by-step explanation:

Max takes 3 hours at 2 mph.. soo 3x2=6 miles that max traveled

Maddy runs at 3 mph  so .. 6 miles / 3MPH  =2 hours,  Maddy takes 2 hours

The value of a in the exponential function is 4/5.

Given the exponential function is f(x)=a(3/2)ˣ.

An function may be a mathematical relation of the subsequent form: f(x)=aˣ. where x may be a variable, and a could be a constant called the exponential of the function.

When multiplying the any function by a constant, we may expand or shrink the function in the y-direction.

y=a(b)ˣ

If a>1 then the function will enlarge.

If a<1 then the function will shrink.

When a=4/5

Then 4/5<1 means the function would shrink.

When a=5/4

Then 5/4>1 means the function would enlarge.

When a=3/2

Then 3/2>1 means the function would enlarge.

When a=7/4

Then 7/4>1 means the function would enlarge.

Hence, the given function f(x)=a(3/2)ˣ would shrink when a=4/5.

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Answer:

4/5

Step-by-step explanation:

got it right

The system of congruences has a unique solution, which is x ≡ 0 (mod 30).  All three congruences are solvable and have a unique solution.

To solve this problem, we can use the Chinese Remainder Theorem.

First, we need to check if the moduli (the numbers on the right side of the congruences) are pairwise relatively prime. In this case, we have 2, 3, and 5, which are all prime and therefore pairwise relatively prime.

Next, we can use the formula for the solution of a system of congruences using the Chinese Remainder Theorem:

x ≡ a1 (mod m1)
x ≡ a2 (mod m2)
...
x ≡ ak (mod mk)

where m1, m2, ..., mk are pairwise relatively prime and a1, a2, ..., ak are integers. The solution is given by:

x ≡ (a1M1y1 + a2M2y2 + ... + akMkyk) (mod M)

where M = m1m2...mk, Mi = M/mi, and yi is the inverse of Mi modulo mi.

In this case, we have:

x ≡ 2 (mod 2)
x ≡ 2 (mod 3)
x ≡ 2 (mod 5)

Using the formula above, we have:

M = 2×3×5 = 30
M1 = 15, M2 = 10, M3 = 6
y1 = 1, y2 = 3, y3 = 5

x ≡ (2×15×1 + 2×10×3 + 2×6×5) (mod 30)
x ≡ (30 + 60 + 60) (mod 30)
x ≡ 0 (mod 30)

Therefore, the system of congruences has a unique solution, which is x ≡ 0 (mod 30).

So, in conclusion, all three congruences are solvable and have a unique solution.

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The rate of change of the circumference of the circle is 4πft/sec when the radius increases at a constant rate of 2ft/sec.

When the radius increases at a constant rate of 2ft/sec, the circumference of the circle changes accordingly.

We can use the formula C = 2πr, where C is the circumference of the circle and r is the radius of the circle.I n the given problem, the rate of change of radius is given as 2ft/sec.

This means that dr/dt = 2. We can find the rate of change of circumference using the formula:C = 2πr. Taking the derivative with respect to t on both sides, we get:dC/dt = 2π(dr/dt)Substituting the value of dr/dt, we get:dC/dt = 2π(2) = 4π

Therefore, the rate of change of the circumference of the circle is 4πft/sec when the radius increases at a constant rate of 2ft/sec.

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Answer:

The correct option is B:   Only two outcomes

Explanation:

The probability of success remains constant from trial to trial, and subsequent trials are independent. A binomial distribution, which results from counting successes over a series of trials, has only two possible outcomes on each trial

The likelihood of success is constant from trial to trial, and subsequent trials are independent. A binomial distribution, which derives from counting successes across a series of trials, has just two possible outcomes on each trial.

It is a distribution style with two potential results. Coin flipping is a common use of binomial distribution. There are just two possible outcomes from a coin toss: heads or tails, and each has an equal probability of 50%.

The probabilities of each of the two occurrences are multiplied together to yield the probability of two independent events, and, both occurring: P (A) P (B) = P (A a n d B).

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.

Answer:

Step-by-step explanation:

1) 8

2) ?

3) g=7

4) v=6

5)x=-4

6) p=8

now #2 i havent learnd yet but all the others. EASYYYYY i love math just choose me if you are having troubles in algebra at all i got you bro <3

Answer:

68823600

Step-by-step explanation:

Answer:

3= 1/3

25=100/25

i dont know about 6a on what u want me to do

sorry

Step-by-step explanation:

The median of the given data set is 259.

To find the median of a set of data, we arrange the data in ascending or descending order and locate the middle value.

If there is an odd number of data points, the median is the middle value. If there is an even number of data points, the median is the average of the two middle values.

Arranging the given data in ascending order, we have:

{154, 215, 224, 253, 254, 259, 263, 267, 276, 293, 389}

There are 11 data points, which is an odd number.

Therefore, the median is the middle value of the ordered data set.

The middle value is the 6th number in the ordered list, which is 259.

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Answer:

5.4 units

Step-by-step explanation:

From the figure ,it's clear that   sin(50) = PQ/7

Then

PQ = 7×sin(50) = 5.362311101833

Therefore the approximate length of PQ I saw 5.4

a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.

b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.

c) The study includes 27 four-year-olds as the observational units or individuals.

The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.

The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.

On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.

The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.

The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.

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15 Studied Economics

30-15

.15

But it's can't be possible there is Tutorial Group of 30

Some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount.

This suggests that your first regression suffers from omitted variable bias. Imperfect multicollinearity implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand. Imperfect multicollinearity means that there is a strong correlation between the regressors, but they are not perfectly correlated.

As a result, some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

When there is multicollinearity in the data, it means that two or more of the variables are highly correlated with one another. In other words, the data may contain redundant information, which can make it difficult to estimate the regression coefficients or partial effects.The dummy variable trap refers to a situation in which one of the variables is a perfect linear combination of the other variables.

This results in the model being unsolvable, and the coefficients cannot be estimated. Heteroskedasticity is the term used to describe when the variance of the residuals is not constant across all values of the independent variables. This means that the predictions of the model may be biased, and the standard errors of the coefficients may be incorrect.

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Answer: 7

Step-by-step explanation:

Answer:

the value of x in this question is 2

Step-by-step explanation:

first of all you will take 2 as your number to divide 8 then with the help of the square root you multiply 8 by 2 to get 16 and that is your answer

The estimated probability that the next person who comes in to give blood will have high blood pressure is approximately 0.274, or 27.4%.Out of 1294 people, 355 had high blood pressure.

To estimate the probability, we divide the number of people with high blood pressure. The total number of people. Therefore, 355/1294 ≈ 0.274.To estimate the probability, we divide the number of people with high blood pressure (355) by the total number of people who came to give blood (1294). So, 355/1294 ≈ 0.274, which is approximately 27.4%.Based on the given data, there is a 27.4% probability that the next person who comes into the blood bank to give blood will have high blood pressure.

Based on the given information, we can estimate that there is a 27.4% probability that the next person who comes to give blood will have high blood pressure. This estimation assumes that the distribution of high blood pressure among blood donors remains consistent.

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Answer:

Hello,

Step-by-step explanation:

\(f(x)=2x^2+3x\\\\f'(x)=4x+3\\\\f'(-2)=4*(-2)+3=-5\\\)

the slope of the tangent line is -5

Answer:

15

Step-by-step explanation:

-5 x 15 = -75

This is according to the rule -a ÷ a = -a and -a x a = -a. Where a negative divided/multiplied by a positive number equals a negative number.

-75 ÷ -5 = 15

-75 ÷ 15 = -5

Answer:

x=10

Step-by-step explanation:

we know that it is a straight line and if we add it up then it will be 180 degrees. So first we add them both up together

8x + 14 + 9x - 4 = 17x + 10 = 180

Then you want to separate the X's and the numbers

in this case you subtract 10 on both sides to get rid of the number on the left side so there is only X

17x+10=180

-10         -10

17x=170

than simplify

17x=170

/17    /17

x=10